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Finding the Fourth Proportional to 7,208,285.98, 9,947,461.01 and 3,900,580.23

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Solution

The fourth proportional to 7,208,285.98, 9,947,461.01 and 3,900,580.23 is: 5,382,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208,285.98 : 9,947,461.01 = 3,900,580.23 : x
  2. Step 2: Convert to fraction form
    7,208,285.98/9,947,461.01 = 3,900,580.23/x
  3. Step 3: Cross multiply
    7,208,285.98x = 9,947,461.01 × 3,900,580.23
  4. Step 4: Simplify right side
    7,208,285.98x = 38,800,869,754,301.83
  5. Step 5: Solve for x
    x = 38,800,869,754,301.83/7,208,285.98
  6. Step 6: Final answer
    x = 5,382,814.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.